Lamar measured a house and its lot and made a scale drawing. The house's driveway, which is 20 feet wide in real life, is 14 inches wide in the drawing. What scale did Lamar use?7 inches : feet
Question
Lamar measured a house and its lot and made a scale drawing. The house's driveway, which is 20 feet wide in real life, is 14 inches wide in the drawing. What scale did Lamar use?7 inches : feet
Solution
To find the scale that Lamar used, we need to set up a ratio between the real-life measurement and the drawing measurement.
Step 1: Set up the ratio The ratio is 20 feet (real life) to 14 inches (drawing).
Step 2: Convert feet to inches Since we're comparing feet to inches, we need to convert feet to inches. There are 12 inches in a foot, so 20 feet is 240 inches.
Step 3: Simplify the ratio Now the ratio is 240 inches (real life) to 14 inches (drawing). To simplify this, divide both numbers by 14.
240 ÷ 14 = 17.14 inches (real life) 14 ÷ 14 = 1 inch (drawing)
So, the scale that Lamar used for his drawing is 1 inch : 17.14 inches, or approximately 1 inch : 17 feet in real life.
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